Irreducibility of Some Quot Schemes on Nodal Curves
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914972035973120 |
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| author | Rasul, Parvez |
| author_facet | Rasul, Parvez |
| contents | Let $C$ be an integral projective nodal curve over $\mathbb C$, of arithmetic genus $g \geqslant 2$. Let $E$ be a vector bundle on $C$ of rank $r$ and degree $e$. Let $\textrm{Quot}_{C/\mathbb C}(E,k,d)$ denote the Quot scheme of quotients of $E$ of rank $k$ and degree $d$. We show that $\textrm{Quot}_{C/\mathbb C}(E,k,d)$ is irreducible for $d \gg 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_10528 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Irreducibility of Some Quot Schemes on Nodal Curves Rasul, Parvez Algebraic Geometry 14H60 Let $C$ be an integral projective nodal curve over $\mathbb C$, of arithmetic genus $g \geqslant 2$. Let $E$ be a vector bundle on $C$ of rank $r$ and degree $e$. Let $\textrm{Quot}_{C/\mathbb C}(E,k,d)$ denote the Quot scheme of quotients of $E$ of rank $k$ and degree $d$. We show that $\textrm{Quot}_{C/\mathbb C}(E,k,d)$ is irreducible for $d \gg 0$. |
| title | Irreducibility of Some Quot Schemes on Nodal Curves |
| topic | Algebraic Geometry 14H60 |
| url | https://arxiv.org/abs/2401.10528 |